Model 2

Description of the model


This second model is a slight variant of the first, in which we assign a specific \(\alpha\) to each predator. In doing so, we can isolate difference between predator, to check if some predator seems to be different from the whole. \[\begin{align} F_{ij}^{real} &= \alpha_{j} * B_i * \frac{B_j}{M_j} \end{align}\]

This model was fit with a hierarchy implemented on the alpha parameter. A global alpha was estimated, with 118 respective unique alphas for each predators.

Summary table

Summary table model 2
mean se_mean sd 2.5% 25% 50% 75% 97.5% n_eff Rhat
a_pop -9.644446 0.0018847 0.2653662 -10.172847 -9.823859 -9.645184 -9.464522 -9.120477 19823.84 0.9995965
a_sd 3.350223 0.0014195 0.1809797 3.015012 3.223566 3.343861 3.469762 3.716762 16254.93 0.9998943
sigma 1.760803 0.0003031 0.0340821 1.695399 1.738021 1.759927 1.783371 1.830219 12644.13 1.0000416

Exploring parameters posterior distribution

Respective predator alphas

One-one plot of simulation against data